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Proof step 6 from proof path-inj (previous step)

dirs[n] = mkdir(m, md, m2, m3, entries), ispath(p0, entries[name], m0, dirs, files), ispath(p0, entries[name], m1, dirs, files), name ∈ entries, n ∈ dirs, ∀ n, m1, dirs, files, m0. ispath(p0, n, m1, dirs, files) ∧ ispath(p0, n, m0, dirs, files) → m0 = m1 ⊦ m0 = m1

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 6 terms: entries[name], m0, dirs, files, m1

Additional information

Used terms: entries[name], m0, dirs, files, m1